One idea that seems to continue plaguing students is making mistakes, especially in mathematics. Making mistakes seems to leave students feeling like they have failed. However, this could not be further from the truth. Advances in brain research have shown that making mistakes is actually what allows our brain to grow. When mistakes are made, the synapses between the neurons in our brain fire. This can result in stronger connections between neurons, new pathways between neurons, and even old pathways connecting to each other. All of these instances can lead to deeper learning and using that learning in new situations which require it.
Conversations that stem from the mistakes students make are invaluable to clearing up common misconceptions. Having the opportunity to discuss why something may not have worked can open up the door to new math learning through patterns and connections. It is inevitable that all students will make mistakes. The goal is to make sure to equip students with the tools for how to process through fixing those mistakes. Creating a culture where mistakes are valued leads to students being willing to take risks and be better problem solvers when faced with new challenges.
“The only sure way to avoid making mistakes is to have no new ideas.” –Albert Einstein